It is estimated that worldwide 1.2 percent of those aged 15-49 are infected with HIV. In tests for HIV, blood samples from 40 people are combined. What is the probability that the combined sample tests positive for HIV? Is it unlikely for such a combined sample to test positive?(Hint: Remember the cumulative distribution function) 2. At an early stage of clinical trials of the XSORT method of gender selection, 16 couples using that method gave birth to 12 girls and 4 boys. A. Assuming that the XSORT method has no effect and boys and girls are equally likely, use the range rule of thumb to identify the limits separating values that are significantly low and those that are significantly high (for the number of girls in 16 births). Based on the results, is the results of 12 girls significantly high? B. Find the probability of exactly 12 girls in 16 births, assuming that the XSORT method has no effect. C. Find the probability of 12 or more girls in 16 births, assuming that the XSORT method has no effect. D. Which probability is relevant for determining whether 13 girls is significantly high: the probability from part (b) or part ( c)? Based on the relevant probability, is the result of 12 girls significantly high? E. What do the results suggest about the effectiveness of the XSORT method?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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It is estimated that worldwide 1.2 percent of those aged 15-49 are infected with HIV. In tests for HIV, blood samples from 40 people are combined. What is the probability that the combined sample tests positive for HIV? Is it unlikely for such a combined sample to test positive?(Hint: Remember the cumulative distribution function) 2. At an early stage of clinical trials of the XSORT method of gender selection, 16 couples using that method gave birth to 12 girls and 4 boys. A. Assuming that the XSORT method has no effect and boys and girls are equally likely, use the range rule of thumb to identify the limits separating values that are significantly low and those that are significantly high (for the number of girls in 16 births). Based on the results, is the results of 12 girls significantly high? B. Find the probability of exactly 12 girls in 16 births, assuming that the XSORT method has no effect. C. Find the probability of 12 or more girls in 16 births, assuming that the XSORT method has no effect. D. Which probability is relevant for determining whether 13 girls is significantly high: the probability from part (b) or part ( c)? Based on the relevant probability, is the result of 12 girls significantly high? E. What do the results suggest about the effectiveness of the XSORT method?

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